1 Answer

Neo Post Modern · Answer 1 · 2023-10-15T09:12:33+0000

Given:

mass of the usain is

$m=94\text{ kg}$

Acceleration is given as

$a=0,\text{ 2.8, 4.86, 1.12, 0.6, 0.51, 0.18 0.19, -0.18, 0}$

Required: calculate the greatest and least net forces.

Step-by-step explanation:

we know the force is given as

where m is the mass and a is the acceleration

to calculate the greatest force

we need find the greatest acceleration in the given table that is

$a=4.86\text{ m/s}^2$

plugging all the values in the above relation we get:

$\begin{gathered} F=ma \\ F=94\text{ kg}*4.86\text{ m/s}^2 \\ F=456.84\text{ N} \end{gathered}$

now, to calculate the least force we have the find the least acceleration

that is

$a=0\text{ m/s}^2$

plugging all the values in the above relation, we get:

$\begin{gathered} F=ma \\ F=94\text{ kg}^*0 \\ F=0 \end{gathered}$

so least force is zero.

we can se another least force when the acceleration is negative that is

$a=-0.18\text{ m/s}^2$

then force is

$\begin{gathered} F=ma \\ F=94\text{ kg}*-0.18\text{ m/s}^2 \\ F=-16.92\text{ N} \end{gathered}$

Thus. the greatest force is

$\begin{equation*} 456.84\text{ N} \end{equation*}$

and least force is

$-16.92\text{ N}$

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